The New England Patriots love wheeling and dealing around the NFL Draft.

In total, the Patriots have made 82 trades in late April and early May since Bill Belichick became head coach in 2000, according to Pro Football Reference. The majority of those have only been draft pick-for-draft pick swaps. But the Patriots have dealt for six veteran players in April.

We were discussing veteran pass-catchers the Patriots could acquire in trades before the NFL year began in March. The Patriots didn’t add any players via trade in March, but they do have another opportunity around draft time.

The Patriots currently have just $1,101,775 in cap space, per PatsCap’s Miguel Benzan. They have multiple ways to free up more cap space, which they’ll need to do just to sign their draft class. The Patriots will almost certainly free up a large chunk of cap room by extending or trading left guard Joe Thuney, who is taking up $14,781,000 on a franchise tag.

So, let’s now revisit those players who could be acquired for picks.

WR Corey Davis, Tennessee TitansCap hit: $4,017,921
The Titans don’t necessarily need the cap space they would free up by trading Davis, but he has been a disappointment after being selected in the first round of the 2017 NFL Draft.

WR Mike Williams, Los Angeles ChargersCap hit: $3,248,190
The Patriots would likely have to give up a haul to acquire Williams. They would then have to extend him or pay him handsomely on a fifth-year option. He’s a good player and a big-play threat, but is it worth the ultimate price tag?

WR John Ross, Cincinnati BengalsCap hit: $2,798,982
This one seems unlikely after the Patriots signed free-agent wide receiver Damiere Byrd, who would likely fill the same role as Ross, who is largely unproven in the NFL.

TE O.J. Howard, Tampa Bay BuccaneersCap hit: $1,977,936
The Patriots would probably love to have him, but so would new Buccaneers quarterback Tom Brady.

TE Evan Engram, New York GiantsCap hit: $1,926,621
This is the Patriots’ most likely option if they like Engram’s skill set as a move tight end. The Giants have some tight end depth with Levine Toiolo and Kaden Smith. The Patriots could possibly get Engram for a third-round pick. Would they rather spend that pick on a rookie tight end like Adam Trautman or Albert Okwuegbunam? Possibly, but Engram is more proven.

TE David Njoku, Cleveland BrownsCap hit: $1,763,910
This one is also possible after the Browns signed Austin Hooper. It all depends on how new Browns head coach Kevin Stefanski feels about Njoku and using two tight end sets.

Here are some other options that the Patriots could potentially acquire in trades:

TE Adam Shaheen, Chicago BearsCap hit: $1,270,980The Bears loaded up on tight end in free agency this offseason, signing Jimmy Graham and Demetrius Harris to add to Trey Burton. ESPN’s Mike Reiss floated out Shaheen’s name as a trade possibility. He’d likely only take a late-round pick to make the deal.

WR Odell Beckham Jr., Cleveland BrownsCap hit: $14,250,000The Patriots would need to trade Thuney to free up the cap space to add Beckham. This also depends on how Stefanski feels about his new wide receiver. The Patriots could certainly use a new No. 1 wideout signed through 2023.